72120620 has 96 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 23904000.

The previous prime is 72120577. The next prime is 72120641. The reversal of 72120620 is 2602127.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 72120592 and 72120601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431777 + ... + 431943.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 2^72120620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72120620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

72120620 is an abundant number, since it is smaller than the sum of its proper divisors (108061396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72120620 is a wasteful number, since it uses less digits than its factorization.

72120620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72120620 is about 8492.3860015899. The cubic root of 72120620 is about 416.2489495475.

Adding to 72120620 its reverse (2602127), we get a palindrome (74722747).

The spelling of 72120620 in words is "seventy-two million, one hundred twenty thousand, six hundred twenty".